The Coherent Neutrino-Nucleus Interaction Experiment (CONNIE) is located at a distance of 30 m from the core of the Angra-2 nuclear reactor in Rio de Janeiro, Brazil. Its goal is to detect the coherent elastic scattering of reactor antineutrinos, known as CE$\nu$NS, off silicon nuclei using fully depleted high-resistivity charge-coupled devices (CCDs). Running since 2016, the experiment has set upper limits on the CE$\nu$NS rate and placed stringent constraints on some scenarios beyond the Standard Model involving light mediators. Recently, the collaboration has also explored the experiment's sensitivity to other exotic scenarios such as millicharged particles. With the purpose of further reducing the energy threshold, two Skipper CCDs were installed in the summer of 2021. The collaboration has demonstrated stable operation of the new sensors with a readout noise of 0.15 electrons and a single-electron rate of ~0.05 e-/pix/day. New techniques have been developed to reduce the effects of instrumental backgrounds, allowing to reach a threshold of 15 eV. In this presentation, the performance of Skipper CCDs, along with the enhanced data selection techniques employed are discussed. Preliminary results of the low energy spectrum from the Skipper data are presented. Finally, future prospects for detecting CE$\nu$NS with Skipper CCD technology are briefly mentioned.